This document introduces geometric sequences and series. It defines a geometric sequence as a sequence where each term after the first is obtained by multiplying the previous term by a fixed number called the common ratio. It provides examples of finding the common ratio of a geometric sequence, finding specific terms, and calculating the sum of finite and infinite geometric series. Students are assigned practice problems finding terms and sums of various geometric sequences and series.

1. 9.3 Geometric
Sequences and Series
Essential Question:
How do you find the terms and sums of geometric
sequences?

2. What is a "Geometric" Sequence?

3. Ex. 1) Find the common ratio.
a) 12, 36, 108, 324, . . .
b)

4. Writing a Geometric Sequence:
One more thing!

5. Ex. 2) Find the 10th term of the geometric sequence
below.

6. Ex. 3) The second term of a geometric sequence is -18,
and the fifth term is 2/3. Find the sixth term.

7. Finding the Sum of a Finite Series

8. Ex. 4) Find the sum.

9. The Sum of an INFINITE
geometric series
Requirement:

10. Ex. 5) Find each sum.
5 + 0.5 + 0.05 + 0.005 + . . .

11. Assignment:
9.3 p. 669 #6, 13, 15, 27, 29, 33,
37, 41, 53, 57, 71, 73, 81, 85